77255216123064 has 256 divisors, whose sum is σ = 226201016448000. Its totient is φ = 21978254592000.

The previous prime is 77255216123053. The next prime is 77255216123077. The reversal of 77255216123064 is 46032161255277.

It is a junction number, because it is equal to n+sod(n) for n = 77255216122998 and 77255216123016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3356430084 + ... + 3356453100.

It is an arithmetic number, because the mean of its divisors is an integer number (883597720500).

Almost surely, 2^{77255216123064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77255216123064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113100508224000).

77255216123064 is an abundant number, since it is smaller than the sum of its proper divisors (148945800324936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77255216123064 is a wasteful number, since it uses less digits than its factorization.

77255216123064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24779 (or 24761 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 77255216123064 in words is "seventy-seven trillion, two hundred fifty-five billion, two hundred sixteen million, one hundred twenty-three thousand, sixty-four".